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Nice Equation

Source: 6-th Austrian–Polish Mathematical Competition 1983, First Day

June 28, 2006
number theory unsolvednumber theory

Problem Statement

Find all triples of positive integers (p,q,n)(p, q, n) with pp and qq prime, such that p(p+1)+q(q+1)=n(n+1)p(p+1)+q(q+1) = n(n+1).
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